Segmented strings and the McMillan map

  title={Segmented strings and the McMillan map},
  author={Steven S. Gubser and Sarthak Parikh and Przemek Witaszczyk},
  journal={Journal of High Energy Physics},
A bstractWe present new exact solutions describing motions of closed segmented strings in AdS3 in terms of elliptic functions. The existence of analytic expressions is due to the integrability of the classical equations of motion, which in our examples reduce to instances of the McMillan map. We also obtain a discrete evolution rule for the motion in AdS3 of arbitrary bound states of fundamental strings and D1-branes in the test approximation. 
Segmented strings coupled to a B-field
A bstractIn this paper we study segmented strings in AdS3 coupled to a background two-form whose field strength is proportional to the volume form. By changing the coupling, the theory interpolates
Segmented strings, brane tilings, and the Y-system
I show that the motion of a closed string consisting of n segments in AdS3 can be embedded into the mutation dynamics of the Y n,0 brane tiling. The determinant of the Kasteleyn matrix computes the
Celestial fields on the string and the Schwarzian action
  • David Vegh
  • Physics
    Journal of High Energy Physics
  • 2021
Abstract This paper describes the motion of a classical Nambu-Goto string in three-dimensional anti-de Sitter spacetime in terms of two ‘celestial’ fields on the worldsheet. The fields correspond to
Pair-production of cusps on a string in AdS3
  • David Vegh
  • Physics
    Journal of High Energy Physics
  • 2018
Abstract The classical motion of a Nambu-Goto string in AdS3 spacetime is governed by the generalized sinh-Gordon equation. It can locally be reduced to the sinh-Gordon (shG), cosh-Gordon (chG), or
Boundary time fields on the string and the Schwarzian action
This paper describes the motion of a classical Nambu-Goto string in three-dimensional anti-de Sitter spacetime in terms of two fields on the worldsheet. The fields correspond to retarded and advanced
p-Adic AdS/CFT
We construct a p-adic analog to AdS/CFT, where an unramified extension of the p-adic numbers replaces Euclidean space as the boundary and a version of the Bruhat–Tits tree replaces the bulk.
Connecting Archimedean and non-Archimedean AdS/CFT
This thesis develops a non-Archimedean analog of the usual Archimedean antide Sitter (AdS)/conformal field theory (CFT) correspondence. AdS space gets replaced by a Bruhat–Tits tree, which is a
Relativistic membrane solutions in AdS$_4$
In this note we discuss various classical membrane solutions in AdS4 spacetime: simple embeddings given by polynomials in ambient space, solutions with non-linear waves, and piecewise linear


Segmented strings in AdS3
A bstractWe study segmented strings in flat space and in AdS3. In flat space, these well known classical motions describe strings which at any instant of time are piecewise linear. In AdS3, the
The broken string in Anti-de Sitter space
A bstractThis paper describes an efficient method for solving the classical string equations of motion in (2+1)-dimensional anti-de Sitter spacetime. Exact string solutions are identified that are
Dynamical AdS strings across horizons
A bstractWe examine the nonlinear classical dynamics of a fundamental string in anti-de Sitter spacetime. The string is dual to the flux tube between an external quark-antiquark pair in N=4$$
Segmented strings from a different angle
This paper computes the area of segmented strings using cross-ratios constructed from the kink vectors to provide an exact discretization of the non-linear string equations of motion.
Study of the longitudinal kink modes of the string
We examine the massless limit of a model for the massive relativistic Nambu string. The system possesses longitudinal kink modes excluded from the standard lightlike gauge treatment. We demonstrate
Colliding waves on a string in AdS$_3$
This paper is concerned with the classical motion of a string in global AdS3. The initially static string stretches between two antipodal points on the boundary circle. Both endpoints are perturbed
Evolution of segmented strings
I explain how to evolve segmented strings in de Sitter and anti-de Sitter spaces of any dimension in terms of forward-directed null displacements. The evolution is described entirely in terms of
Branes within branes
Superstring theory has a rich spectrum of solitonic states, and over the last years much has been learned about their important roles in the theory, in strong-weak coupling duality and in resolving
A brief discussion is given of the long-term stability of particle motions through periodic focusing structures containing lumped nonlinear elements. A method is presented whereby one can specify the